Information on Result #694943
Linear OA(27104, 531489, F27, 24) (dual of [531489, 531385, 25]-code), using construction X applied to Ce(23) ⊂ Ce(13) based on
- linear OA(2793, 531441, F27, 24) (dual of [531441, 531348, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2711, 48, F27, 9) (dual of [48, 37, 10]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(27104, 265744, F27, 2, 24) (dual of [(265744, 2), 531384, 25]-NRT-code) | [i] | OOA Folding | |